{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T11:53:41Z","timestamp":1723031621907},"reference-count":7,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. Game Theory Rev."],"published-print":{"date-parts":[[2017,3]]},"abstract":"<jats:p>We consider the repeated zero-sum bidding game with incomplete information on one side with non-normalized total payoff. De Meyer and Marino [(2005) Continuous versus discrete market game, Cowles Foundation Discussion Paper 1535] and Domansky and Kreps [(2005) Repeated games with asymmetric information and random price fluctuations at finance markets, Proc. Appl. Ind. Math. 12(4), 950\u2013952 (in Russian)] investigated a game [Formula: see text] modeling multistage bidding with asymmetrically informed agents and proved that for this game [Formula: see text] converges to a finite limit [Formula: see text], i.e., the error term is [Formula: see text]. In this paper, we show that for this example [Formula: see text] converges to the limit exponentially fast. For this purpose we apply the optimal strategy [Formula: see text] of insider in the infinite-stage game obtained by Domansky [(2007) Repeated games with asymmetric information and random price fluctuations at finance markets, Int. J. Game Theor. 36(2), 241\u2013257] to the [Formula: see text]-stage game and deduce that it is [Formula: see text]-optimal with [Formula: see text] exponentially small.<\/jats:p>","DOI":"10.1142\/s0219198916500171","type":"journal-article","created":{"date-parts":[[2016,8,31]],"date-time":"2016-08-31T07:38:00Z","timestamp":1472629080000},"page":"1650017","source":"Crossref","is-referenced-by-count":3,"title":["Repeated Bidding Games with Incomplete Information and Bounded Values: On the Exponential Speed of Convergence"],"prefix":"10.1142","volume":"19","author":[{"given":"Marina","family":"Sandomirskaia","sequence":"first","affiliation":[{"name":"Center for Market Studies and Spatial Economics, National Research University Higher School of Economics, 20 Myasnitskaya st., Moscow 101000, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2017,3,13]]},"reference":[{"key":"S0219198916500171BIB001","volume-title":"Repeated Games with Incomplete Information","author":"Aumann R. J.","year":"1995"},{"key":"S0219198916500171BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/s001820200120"},{"key":"S0219198916500171BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/s00182-007-0071-8"},{"issue":"4","key":"S0219198916500171BIB005","first-page":"950","volume":"12","author":"Domansky V.","year":"2005","journal-title":"Proc. Appl. Ind. Math."},{"key":"S0219198916500171BIB006","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198502388.001.0001","volume-title":"Linear Algebra","author":"Kaye R.","year":"1998"},{"key":"S0219198916500171BIB007","doi-asserted-by":"publisher","DOI":"10.1134\/S1064230709040145"},{"key":"S0219198916500171BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/S1574-0005(05)80008-6"}],"container-title":["International Game Theory Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219198916500171","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,19]],"date-time":"2024-06-19T04:11:33Z","timestamp":1718770293000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219198916500171"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,3]]},"references-count":7,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2017,3,13]]},"published-print":{"date-parts":[[2017,3]]}},"alternative-id":["10.1142\/S0219198916500171"],"URL":"https:\/\/doi.org\/10.1142\/s0219198916500171","relation":{},"ISSN":["0219-1989","1793-6675"],"issn-type":[{"value":"0219-1989","type":"print"},{"value":"1793-6675","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,3]]}}}